A new high school catering to students who live near Ground Zero is finally getting its downtown digs.

The New Millennium HS will open on Sept. 8 in a 33-story office tower at 75 Broad St., between Beaver and William streets.

Last year, the new school was forced to hold classes in temporary quarters at the HS for Art and Design on East 57th Street after a real estate deal downtown fell through.

But the city signed a lease for space at the former ITT building in June, and architects and school construction officials are working feverishly to open New Millennium for the fall session.

Downtown residents are thrilled.

“We have great elementary schools but no neighborhood high school,” said Madelyn Wils, chairwoman of Community Board 1, and a driving force behind the new school. “This is the first high school that will be for lower Manhattan residents. It will encourage families to stay downtown.”

Under the admissions policy, 70 percent of the students must pass standardized reading exams to be accepted. Students must reside in Community District 2, which runs from Chinatown to the Upper East Side.

Wils insisted that students south of Houston Street will get preference.

The other high schools in the downtown area are open to students throughout the city – including selective Stuyvesant HS.